We show the principle of operation of a setup to adiabatically shape solitons in quadratic nonlinear media to different beam profiles and widths or different fractions of energy carried by the second-harmonic wave. The ...

We demonstrate that spatially inhomogeneous defocusing nonlinear landscapes with the nonlinearity coefficient growing toward the periphery as (1+|¿|¿) support one- and two-dimensional fundamental and higher-order bright ...

Amplification of spatial solitons in quadratic nonlinear media under conditions for second-harmonic generation is
addressed. Under the action of gain at a given frequency band the energy has to be redistributed ...

We report Anderson localization in two-dimensional optical waveguide arrays with disorder in waveguide separation introduced along one axis of the array, in an uncorrelated fashion for each waveguide row. We show that the ...

We show that Anderson localization is possible in waveguide arrays with periodically spaced defect waveguides
having a lower refractive index. Such localization is mediated by Bragg reflection, and it takes place even if ...

We report on the experimental observation of corner surface solitons localized at the edges joining planar interfaces of hexagonal waveguide array with uniform nonlinear medium. The face angle between these interfaces has ...

Bound states in the continuum (BICs) are radiationless localized states embedded in the part of the parameter space that otherwise corresponds to radiative modes. Many decades after their original prediction1, 2, 3 and ...

We put forward a mechanism for tailoring, and even arresting, the collapse of wave packets in nonlinear media, whose dynamics is governed by nonlocal two-dimensional nonlinear Schrödinger-like equations. The key ingredient ...

We address the effect of quintic nonlinearities in the propagation of optical solitons in cubic nonlinear media. Our focus is on the decay of higher-order solitons in the presence of self-defocusing quintic perturbations. ...

We predict the existence and study the basic properties of strongly asymmetric matter wave solitons that form at the interface produced by regions with different interatomic interaction strengths in pancake Bose-Einstein ...

We address the transverse mobility of spatial solitons in competing parity-time-symmetric linear and nonlinear lattices. The competition between out-of-phase linear and nonlinear lattices results in a drastic mobility ...

We show that an inhomogeneous defocusing nonlinearity that grows toward the periphery in the positive and negative transverse directions at different rates can support strongly asymmetric fundamental and multipole bright ...

We find exact one-parameter families of stationary two-dimensional light bullets in the form of solitons localized in
space and time in diffractive and dispersive nonlinear media under conditions for second-harmonic ...

Formation of optical solitons in quadratic nonlinear media under conditions for second-harmonic generation is investigated numerically in the presence of linear amplification at the fundamental frequency band. We show that ...